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Finding the Fourth Proportional to 5,019.86, 7,529.84 and 1,322.62

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Solution

The fourth proportional to 5,019.86, 7,529.84 and 1,322.62 is: 1,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.86 : 7,529.84 = 1,322.62 : x
  2. Step 2: Convert to fraction form
    5,019.86/7,529.84 = 1,322.62/x
  3. Step 3: Cross multiply
    5,019.86x = 7,529.84 × 1,322.62
  4. Step 4: Simplify right side
    5,019.86x = 9,959,116.98
  5. Step 5: Solve for x
    x = 9,959,116.98/5,019.86
  6. Step 6: Final answer
    x = 1,983.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.